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Proof step 122 from proof compat-put (previous step)

st[r0 -- _type] = typeval(ty0), is_arraytype(ty0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .type .jtelemtype .class), ¬ has_classtype(ty0) ∨ class∃(str, ty0 .type .jtelemtype .class) ∨ interface∃(str, ty0 .type .jtelemtype .class) ∨ is_predefined_class(ty0 .type .jtelemtype .class) → compatarray(str, r0, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 121:
ty0 = mkarraytype(ty1), st[r0 -- _type] = typeval(ty0), is_arraytype(ty0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, ¬ has_classtype(ty0) ∨ tdname+∃(str, ty1 .jtelemtype .class), ¬ has_classtype(ty0) ∨ class∃(str, ty1 .jtelemtype .class) ∨ interface∃(str, ty1 .jtelemtype .class) ∨ is_predefined_class(ty1 .jtelemtype .class) → compatarray(str, r0, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compatarray(str, r0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty0, ty1] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty0, ty1)]]